Geomorphology 234 (2015) 11–18 Contents lists available at ScienceDirect Geomorphology journal homepage: www.elsevier.com/locate/geomorph Geodiversity, self-organization, and health of three-phase semi-arid rangeland ecosystems, in the Israeli Negev I. Stavi a,⁎, R. Shem-Tov a, M. Chocron b, H. Yizhaq a,c a b c Dead Sea & Arava Science Center, Ketura 88840, Israel Department of Land of Israel Studies and Archaeology, Bar-Ilan University, Ramat Gan 52900, Israel Department of Solar Energy and Environmental Physics, Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus, Midreshet Ben Gurion, Israel a r t i c l e i n f o Article history: Received 21 September 2014 Received in revised form 25 December 2014 Accepted 11 January 2015 Available online 17 January 2015 Keywords: Bi-modal pattern Ecosystem complexity Herbaceous vegetation Mesic vs. xeric conditions Source–sink relations Vegetative pattern a b s t r a c t Source–sink, two-phase mosaic-like ecosystems are widespread throughout the world's drylands. Such ecosystems are composed of woody vegetation patches and intershrub spaces and have been characterized as having high flexibility and survivability. Recent studies from the semi-arid Negev drylands of Israel reported that livestock grazing has resulted in the modification of two-phase mosaic-like shrublands into three-phase mosaic rangelands, with livestock trampling routes encompassing a separate, and the most degraded phase, while the shrubs encompass the most improved phase. The objective of this study was, therefore, to reassess this theory through the investigation of patch-scale (spatial scale of one to several decimeters) geodiversity and selforganization of these ecosystems. In terms of the effect of type of surface cover (microhabitat), the soil hygroscopic moisture content and stable aggregate content of the uppermost layer (0–5 cm depth) were significantly affected by this factor, and revealed the highest, intermediate, and smallest values for the shrubby patches (3.06% and 77%), intershrub spaces (2.81% and 68%), and the trampling routes (2.63% and 55%), respectively. An opposite effect was recorded for the sand content, revealing 23.9%, 25.3%, and 26.0%, respectively. The clay dispersion index was also significantly affected by microhabitat, and revealed a higher value for the trampling routes (0.83) than for the intershrub spaces and shrub patches (0.37 for both). At the same time, other soil characteristics were not significantly affected by microhabitat. Overall, some differences were recorded between north- and south-facing hillslopes, proposing somewhat better soil quality in the northern aspects. A conceptual model is proposed, in which moderate livestock pressure increases ecosystem geodiversity at the patch scale, modifying the ecosystem's self-organization to encompass a new (dynamic) equilibrium of a tri-modal pattern, and increasing ecosystem health. Also, a simple numerical simulation is proposed, modeling the effect of livestock trampling routes on the redistribution of water at the patch scale, with the resultant modifications in distribution of vegetation cover. Yet, it is proposed that functioning of three-phase mosaic rangelands is more complex than previously suggested, encompassing several simultaneous effects, of which some may have offsetting impacts. © 2015 Elsevier B.V. All rights reserved. 1. Introduction Extensive lands among the world's semi-arid regions have been reported as composed of two-phase mosaic-like ecosystems, containing woody vegetation patches and bare or herbaceous vegetation-covered ground in the intershrub spaces (Carter and O'Connor, 1991). Source– sink spatial relations have been extensively reported to occur between these two types of surface cover (microhabitats) (Merino-Martin et al., 2012), where the intershrub spaces contribute runoff water and associated dissolved and suspended materials to the vegetation patches, which is where these materials are accumulated and utilized for supporting ⁎ Corresponding author. Tel.: +972 8 630 6319; fax: +972 8 635 6634. E-mail addresses: [email protected], [email protected] (I. Stavi). http://dx.doi.org/10.1016/j.geomorph.2015.01.004 0169-555X/© 2015 Elsevier B.V. All rights reserved. vegetation production (Imeson and Prinsen, 2004). High functioning capability, i.e., large capacity in retaining water and soil resources within an ecosystem's boundaries while allowing only small leakage, characterizes such ecosystems, which maintain their production capacity even during consecutive drought years (Tongway and Ludwig, 2003). A wide range of physical and biotic conditions have led to the formation of several patterns of vegetation patchiness, such as stripes, strands, stipples, and others, efficiently exploiting the limited water and soil resources (Ludwig et al., 1999). Such patterns of self-organization enable the survival of vegetation in drylands, where precipitation regimes could not support full vegetation cover (Rietkerk et al., 2002; Borgogno et al., 2009). Among other definitions of ecosystem health, one of the most important is its ability to support productivity, (self-)organization, and resilience, i.e., to carry on vegetation (and animal) growth, to sustain diversity and interactions among its components, and to buffer 12 I. Stavi et al. / Geomorphology 234 (2015) 11–18 perturbations, respectively (Rapport et al., 2013). Therefore, ecosystem health should be the ultimate goal when discussing either naturally or anthropogenically modified environments. Geodiversity – defined as the natural range of geological, geomorphic, and soil features (Gray, 2005) – impacts biodiversity (Jačková and Romportl, 2008) and, in addition, affects a range of ecosystem services and functions (Gray, 2004). The combination of biodiversity and geodiversity determines the overall natural diversity (Cañadas and Flaño, 2007). Therefore, a holistic approach to the conservation of natural diversity can be achieved only if considering both the living (biodiversity) and non-living (geodiversity) aspects of the relevant ecosystems (Pemberton, 2007). Evaluation of geodiversity must include the interpretation of processes and relationships (e.g., spatial redistribution of water and soil resources) among its components (Gray, 2004). Grazing lands cover more than 60 million km2 or 45% of the terrestrial surface of the globe (Reid et al., 2008). Livestock impact, including the browsing of vegetation, excretion of feces and urine, and trampling of soil, considerably affects the functioning and production capacity of the rangeland ecosystems (Coughenour, 1991). A set of studies focusing on the three-phase mosaic-like pattern was recently summarized by Stavi et al. (2012), highlighting the effect of the non-even distribution of livestock traffic on hillslopes on some characteristics of soil and vegetation in semi-arid rangeland ecosystems. Nevertheless, the impact of livestock on patch-scale geodiversity, with a spatial scale of 1 dm to several decimeters, and its effects on the functioning of rangeland ecosystems has still remained greatly unknown. Therefore, the objective of this study was to investigate the patch-scale geodiversity of these rangelands, and to assess how it reflects on ecosystem functioning and self-organization. GPS apparatus. Mapping was based on delineation of the shrub patches' perimeter and trampling routes' area. The routes were easily identified by their exposed surface consisting of mechanical crusts, and by their predominant, elongated lateral shape, transecting the hillslopes along contours. Data were then digitized with ArcGIS software for the calculation of the cover percentage of each of these two types of microhabitats. The cover percentage of the intershrub spaces excluding the trampling routes was then calculated by subtracting the areas of shrubby patches and of trampling routes from the total area of the plot (100 m2). 2.3. Soil sampling and infiltration testing After mapping, soil samples from the uppermost soil layer (0–5 cm depth) was obtained in five randomly selected spots of each of the types of cover: shrub patches (of S. spinosum only), trampling routes, and intershrub spaces excluding the trampling routes. To maintain consistency, the soil sample was taken from each of the shrub patches laterally rather than upslope or downslope, and on the western side of the shrub center. The samples were carefully placed in a sealed plastic bag. In addition, in proximity to each spot of the soil sampling, the infiltration capacity of water to soil under unsaturated conditions was also tested. This was implemented by using a mini-disk infiltrometer (Decagon®, USA) for 5 min (300 s) per spot. Upon arrival to the laboratory, the soil samples were left to air-dry in a well-ventilated space. Number of spots (n) for the soil samples as well as for the infiltration tests was: 5 replicates × 3 microhabitats × 3 hillslopes × 2 aspects = 90. 2.4. Laboratory analyses 2. Materials and methods 2.1. Regional settings The study was implemented at the Lehavim Demonstration Farm, located in the northern semi-arid Negev (31° 20′ N, 34° 46′ E) of Israel (Figs. 1 and 2). The area's lithology is chalk of the Eocene, with a topography comprised of rolling hills. The mean altitude ranges between 350 and 500 m above sea level (Perevolotsky and Landau, 1988), and the soil is classified as Brown Rendzina (Dan and Koyumdjisky, 1979). The predominant shrub species is Sarcopoterium spinosum (L.) Spach, while Coridothymus capitatus (L.) Rchb.f. is also prevalent in southern-facing hillslopes. The herbaceous vegetation consists of a range of grasses, forbs, and legumes. Mean daily temperatures range between 11 °C in January and 25 °C in July; mean daily relative humidity ranges between 67% and 50%, respectively; and mean annual precipitation is approximately 300 mm (Bitan and Rubin, 1991). The farm itself encompasses about 800 ha, where long-term livestock grazing has been implemented with a flock of approximately 800 head of sheep and goats (Stavi et al., 2012). 2.2. Mapping of ground surface cover (microhabitats) Fieldwork was conducted at the end of the dry season (September) of 2013. Three pairs of north- and south-facing hillslopes were selected for the study. This study scheme was implemented due to the prevailing conditions of mesic and xeric habitats in northern and southern aspects, respectively (see: Rigg, 1993), which are assumed to affect the ecosystem self-organization and functioning. A location was randomly selected along the backslope of each of these hillslopes and utilized for the delineation of a 10 × 10 m plot. This plot size was chosen in order to ensure the capability of randomly selecting the sampling spots within them. The plots were then mapped for their different types of cover – including shrub patches, livestock trampling routes, and the remainder of the intershrub spaces – by using a high-resolution (10 cm precision) Sub-samples of the soil were put in a drying oven (set to 105 °C, for 24 h) to determine the hygroscopic moisture content. The main soil samples were analyzed for texture (by the hydrometer method: Bouyoucos, 1962), electrical conductivity (Richards, 1954), pH (McLean, 1982), aggregate stability index (Herrick et al., 2001), stable aggregate content (by using an aggregate stability apparatus: Eijkelkamp®, the Netherlands), and clay dispersion index. The latter was determined through the positioning of an aggregate of 3 to 5 mm diameter in a Petri plate filled with distilled water, followed by a visual observation of the extent of cloudiness (milkiness) after 10 min, and again, after 2 h. Dispersion index scores ranged from 0 for no cloudiness at all; 1 for slight cloudiness; 2 for moderate cloudiness; 3 for strong cloudiness, and 4 for complete cloudiness of the aggregate's clays (adapted from: USDA-NRCS, EFH NOTICE 210-WI62). These soil characteristics were chosen due to their capacity in representing the overall soil quality. 2.5. Statistical analysis For analyzing the overall effect of the hillslope aspect, data processing was required. This included the normalizing of data according to the relative cover percentage of each of the types of microhabitats on each of the hillslopes. Then, analysis of variance (ANOVA) was conducted with the GLM (general linear model) procedure of SAS (SAS Institute, 1990). Factors in the model were hillslope aspect (1 degree of freedom; df), block within hillslope aspect (3 df; error term for aspect), type of cover (2 df), and the interaction hillslope aspect × type of cover (2 df). Statistically significant interactions were subjected to additional ANOVA with the SLICE command of PROC GLM. Separation of means was implemented by Tukey's HSD at a probability level of 0.05. Pearson correlation coefficients were computed to assess the relations between each pair of variables. I. Stavi et al. / Geomorphology 234 (2015) 11–18 13 Fig. 1. Map of the study site in Israel. 3. Results and discussion 3.1. Ground surface cover (microhabitats) Concordant with previous studies (summarized in Stavi et al., 2012), the hillslope's surface cover was found to be of a patchy nature. The intershrub spaces were found to have the greatest mean cover (61.1 ± 6.2%), shrub patches, an intermediate cover (28.1 ± 7.1%), and livestock trampling routes, the smallest cover (10.8 ± 1.9%). The effect of hillslope aspect on the mean cover percentage of the different microhabitats was considerable, with shrubs having much greater mean cover percentage in the northern facing hillslopes, and routes having considerably greater mean cover percentage in the southern facing hillslopes (Fig. 3). Two GIS-based maps of representative northernand southern-facing hillslopes are shown in Fig. 4. It is noteworthy to mention that the overall mean cover percentage of trampling routes observed in this study was only about a half of that reported in a recent study (Stavi et al., 2012: ~21%) which was implemented in the same region. This could be attributed to the mapping of pairs of hillslopes in this study different to those which were utilized in Stavi et al. (2012), suggesting wide heterogeneity among hillslopes in the study region. 3.2. Hillslope effect The greater mean shrub cover on the northern-facing hillslopes corresponds with previous studies which showed that compared with south-facing hillslopes, the smaller loss of soil moisture through evaporation on north-facing hillslopes (Shoshany, 2002) results in the formation of mesic conditions (Rigg, 1993), increasing vegetation growth and augmenting net primary productivity (NPP) (Bochet and García-Fayos, 2004). The greater NPP in the northern hillslopes is expected to improve the physical and hydraulic characteristics of the surface soil (Archer et al., 2002), further increasing the retention of water and soil resources within the ecosystem boundaries (Andreu et al., 2001). This concept accords with the study results, revealing significantly greater means of normalized aggregate stability index, stable aggregate content, and hygroscopic moisture content in the north- than in the south-facing aspects. In addition, the significantly greater mean normalized soil pH in the southern, rather than in the northern hillslopes, demonstrates the lower limitation of vegetation productivity due to soil alkalinity in the north-facing aspects than that in the south. Yet, the mean normalized pH level under both of the northern and southern aspects was only slightly alkaline and, presumably, had no impact on the ecosystem production capacity. At the same time, no significant effect of hillslope aspect was recorded for any of the mean normalized values of soil electrical conductivity, clay dispersion index, and unsaturated infiltration capacity (Table 1). However, the mean normalized soil texture was considerably impacted by the hillslope aspect. This was revealed by the significantly greater silt content and significantly smaller sand content in the northern hillslopes than those in the southern hillslopes (Table 2). Overall, the smaller silt content and larger sand content of the surface soil indicate the sorting – through erosional processes – of the finer fractions (see: Zhang et al., 2014), and suggest that the southern aspects are more susceptible to hillslope-scale erosional processes than the northern aspects (e.g., Istanbulluoglu et al., 2008). 14 I. Stavi et al. / Geomorphology 234 (2015) 11–18 Fig. 2. Characteristic landscape of the study region. 3.3. Microhabitat effect The highly significant effect of type of cover on the mean of each of the stable aggregate content and hygroscopic moisture content clearly demonstrates the existence of three different microhabitats in this type of ecosystem. The greatest, intermediate, and smallest values of these variables for the shrub patches, intershrub spaces, and trampling routes, respectively (Table 3), accord with Stavi et al. (2012), who reported the same trend of overall quality of soil. These findings are attributed to the source–sink relations, where the trampling routes act as optimal source areas and the shrubby patches act as optimal sinks, while the intershrub spaces (excluding routes) lay in between these two extremes. The greatest and smallest mean contents of sand fraction under the trampling routes and shrubby patches, respectively, as well as the (though not significantly) smallest clay content in the routes (Table 4), demonstrate the sorting of the finer fractions off the routes. Therefore, it can be assumed that suspended fine mineral materials, dissolved materials, and floating organic materials that are generated in the trampling routes are accumulated in the shrubby patches and to a smaller extent also in the intershrub areas. The latter two microhabitats experience the improvement in soil structure formation and aggregate Fig. 3. Mean cover (%) of shrub patches, intershrub spaces, and trampling routes, by hillslope aspect. stability, resulting in an increase in the soil hygroscopic moisture content. At the same time, the absence of vegetation in the trampling routes, coupled with their smooth surface, negates the retention of water and deposition of fine mineral material and organic material on their surface, and prevents the development of well-structured soil in this microhabitat. Over the long run, the reoccurrence of intense livestock traffic on the trampling routes enables these processes to be self-sustaining. These results strengthen the recently proposed concept (summarized in Stavi et al., 2012), according to which the consideration of such ecosystems as two-phase mosaics is an over-simplification. The mean clay dispersion index, despite being significantly affected by microhabitat, was similar between the shrub patches and intershrub spaces, demonstrating the complexity of the functioning of such threephase mosaic-like geo-ecosystems. One way or another, the significantly and considerably smaller clay dispersion index under these two microhabitats than that under the trampling routes exemplifies the inferior physical quality of soil under the latter (Table 3). Regardless, these results are in accordance with the concept of ‘fertility islands’ (Garner and Steinberger, 1989), where vegetative patches are claimed to operate as sinks of water runoff that is generated in the intershrub spaces (Saco et al., 2007). According to this concept, along the temporal axis, the soil quality of such mosaic-like ecosystems is getting improved in the vegetative patches and degraded in the intershrub spaces (Vásquez-Méndez et al., 2010). At the same time, the effect of type of cover on mean aggregate stability index, pH, and unsaturated water infiltration capacity was not significant (Table 3). To some extent, the absence of significant effect of microhabitat on the unsaturated infiltration capacity may be attributed to the recorded very high variability for this soil feature, which by itself, could be attributed to a finer-scale heterogeneity of the surface soil. Also, despite the considerable differences in the mean soil electrical conductivity among the various microhabitats, the high variability of this soil characteristic negated a significant effect. Yet, the much greater electrical conductivity of the soil under the trampling routes than that under the shrub patches and intershrub spaces could be attributed to the absence of a fine root system in this microhabitat, decreasing salt leaching from the uppermost soil layer. The effect of the interaction type of cover × hillslope aspect was significant only for the soil's mean silt and sand contents. The mean silt content was significantly different between the northern and southern hillslopes only for the trampling routes, being greater in the more I. Stavi et al. / Geomorphology 234 (2015) 11–18 15 Fig. 4. GIS maps of the plot in a representative (the “FOREST”) northern (a) and southern (b) aspects. mesic aspects than in the more xeric aspects. An opposite effect was recorded for the sand content under each of the intershrub spaces and trampling routes (Table 5). 3.4. General data integration and knowledge gaps Over recent years, poor maintenance of the fences surrounding the livestock-exclusion plots across the Lehavim Demonstration Farm negated the investigation of the actual effect of livestock grazing on the rangeland geodiversity. Regardless, the obvious effect of the grazing animals on the formation and persistence of the trampling routes highlighted the impact of livestock in increasing patch-scale geodiversity. Also, obtaining undisturbed soil cores was impossible because of the extremely high content of rock fragments in the soil, imposing technical difficulties in investigating the effect of hillslope aspect and microhabitat (type of surface cover) on the soil's available moisture capacity. Yet, the results of some of the studied soil properties, such as the stable aggregate content, hygroscopic moisture content, aggregate stability index, clay dispersion index, pH, and texture, highlighted the considerable effect of hillslope aspect and microhabitat on soil quality. Overall, despite some discrepancies, the obtained results affirm the previously proposed concept, suggesting that livestock trampling routes constitute a separate microhabitat, which causes the two-phase mosaic-like patterns to function as threephase ecosystems (Stavi et al., 2012). The concept of natural diversity encompasses two components: (1) the number of different types of objects (e.g., biological species and soil types) in a mixture or a sample, and (2) the relative size or number of each type of object, as well as its distribution among the other objects (Ibáñez et al., 2012). At the same time, two important concepts for the quantification of diversity are: (a) whether the specific groups are different enough to be considered separate types of objects, and (b) whether the objects in each specific group are similar enough to be considered the same type (Huston, 1994). According to these concepts, the considerable cover of trampling routes (almost 11%), their spatial reoccurrence, and the remarkable differences between them and the other types of surface cover, make them an important determinant of the geo-ecosystem diversity. Regardless, some of the obtained results suggest no clear difference between the shrubby patches and the intershrub spaces excluding the trampling routes. Also, the absence of a strong correlation (r N 0.50) between any pair of the studied soil characteristics further demonstrated the geo-ecosystem's complex nature, with the presumably simultaneous impacts of offsetting mechanisms between them. Along the soil quality continuum, the shrubby patches and trampling routes represent the maximum and minimum extremes, respectively, with the intershrub spaces lying somewhere between those extremes. The spatial relations among the different microhabitats are proposed to form positive feedbacks, which strengthen the existing state and conditions in each of them (Fig. 5). For example, high-intensity trampling in the routes is assumed to grind and shear the uppermost soil layer in this microhabitat. The ground and sheared mineral material becomes available for suspension in water and to flow downslope with the runoff, where it is deposited either in the shrubby patches or intershrub spaces excluding routes. Reoccurrence of these processes depletes the fine Table 1 Effect of hillside aspect on the soil's unsaturated infiltration rate (cm s−1); aggregate stability index (1 through 6: the higher the index, the greater the stability); stable aggregate content (%); clay dispersion index; hygroscopic moisture content (%); electrical conductivity (μS), and pH. P value North South Infiltration rate Stability index Stable aggregate Clay dispersion index Hygroscopic moisture Electrical conductivity pH 0.1442 0.00059a (0.00006) 0.00046a (0.00017) 0.0259 5.77a (0.10) 5.40b (0.14) 0.0001 79.0a (2.0) 58.3b (3.4) 0.185 0.32a (0.09) 0.51a (0.11) 0.0001 3.07a (0.10) 2.68b (0.06) 0.9424 702.1a (36.0) 706.0a (47.4) 0.0101 7.67b (0.06) 7.88a (0.07) Notes: Means within the same column followed by a different letter differ at the 0.05 probability level according to Tukey's HSD. Numbers within parentheses are standard error (SE) of the means. 16 I. Stavi et al. / Geomorphology 234 (2015) 11–18 Table 2 Effect of hillside aspect on soil contents of clay, silt, and sand (in %). P value North South Table 4 Effect of microhabitat (type of cover) on the soil contents of clay, silt, and sand (in %). Clay Silt Sand 0.9023 27.3a (0.9) 27.2a (0.6) 0.0006 49.6a (0.9) 45.8b (0.7) 0.0001 23.1b (0.6) 27.0a (0.5) Notes: Means within the same column followed by a different letter differ at the 0.05 probability level according to Tukey's HSD. Numbers within parentheses are standard error (SE) of the means. mineral material in the route's surface and increases its accumulation in the remainder of the microhabitats. At the same time, the surface roughness in the intershrub spaces induced by the herbaceous vegetation and rock fragment cover, and shrubby patches increases the sinking capacity of water, mineral material, and coarse organic matter in these microhabitats. These processes stimulate vegetation growth, accelerating the retention of the self- (on-site originated) and imported- (off-site originated) resources in the vegetated microhabitats, and negating the restoration of soil quality and production capacity in the trampling routes. Reoccurrence of concentrated livestock traffic in the routes, as opposed to the sporadic trampling in the vegetated microhabitats, further accelerates these feedbacks. A study implemented in a protected landscape area in the Czech Republic reported that geodiversity, including (macro-)topographic variability and relief heterogeneity, positively affected plant taxon richness (Jačková and Romportl, 2008). Recently, a geodiversity index was developed, enabling comparison among different sites. This index considered the number of physical (including geologic, geomorphic, hydrologic, and pedogenic) elements involved in the studied site, the surface area of the studied site (to a km2 scale), and the roughness of the unit. Yet, this index could not be utilized for smaller-sized aerial units, and is not applicable for determining smaller-scale geodiversity (Cañadas and Flaño, 2007). Moreover, even though geodiversity studies generally consider soils, only rarely do they relate their specific features to geodiversity (Ibáñez et al., 2012), mainly focusing on the background data, such as geology and topography. In our study region, surface heterogeneity (or diversity) was previously suggested to be reflected through the sharpening of the hillslopes' micro-topographic (to a scale of several decimeters) step-like profile. This effect was proposed to be associated with the livestock trampling routes, increasing the discontinuity of geomorphic processes, and affecting redistribution of water and soil resources at the patch- and hillslope-scales (Stavi et al., 2012). It therefore seems that while geological background is prominent in determining geodiversity at the macro, landscape scale, the effect of livestock grazing is particularly considerable at the patch scale. For summarizing the impact of livestock grazing on the rangeland ecosystems, we propose a conceptual model which describes the relationship between the stocking rate and each of the patch-scale geodiversity, the ecosystem self-organization, and the ecosystem health (Fig. 6). A long-term moderate stocking rate increases the patch scale geodiversity, from a two-phase into a three-phase geo-ecosystem, and modifies the ecosystem's self-organization — from a bi-modal (e.g., Rietkerk et al., 2002) to a tri-modal pattern. It is suggested that this new state of (dynamic) equilibrium increases the redistribution of water and soil resources at the patch scale. Regardless, the greater P value Shrub patches Intershrub spaces Trampling routes Clay Silt Sand 0.0814 27.2a (0.6) 28.8a (0.6) 25.9a (1.3) 0.0846 48.8a (0.8) 46.0a (0.7) 48.2a (1.5) 0.0522 23.9b (0.8) 25.3ab (0.8) 26.0a (0.7) Notes: Means within the same column followed by a different letter differ at the 0.05 probability level according to Tukey's HSD. Numbers within parentheses are standard error (SE) of the means. geodiversity is proposed to support a wider range of biological species (biodiversity) and activities, improving ecosystem health (see: Rapport et al., 2013). At the same time, it could be assumed that the impact of livestock grazing on geodiversity is directly dependent on the stocking rate. In this regard, it is assumed that an excessively high livestock rate (over-grazing) diminishes geodiversity and modifies the ecosystem into a one-phase form, being either exposed of vegetation (Gamoun et al., 2010) or fully covered with woody vegetation which is not edible for grazing animals (Schlesinger et al., 1990). Consequently, the ecosystem's self organization is lost and the landform functioning is modified. In the event of the one-phase form consisting of only exposed surface, the ecosystem functioning becomes considerably degraded, as the leaking of water and soil resources off the ecosystem boundaries becomes the most prominent process. As opposed to that, if the one-phase form consists of full cover of woody vegetation, the retaining capacity of water and soil resources within the ecosystem boundaries becomes considerably large, augmenting the ecosystem functioning. One way or another, being either exposed or fully covered with woody vegetation, the smaller geo- and bio-diversity results in the degradation of ecosystem health. Also, as shown by Schlesinger et al. (1990), the economic usability of rangelands that become fully covered with woody vegetation is lost. Regardless, in the event of edible woody vegetation, a new state of a two-phase ecosystem may be formed, consisting of shrubby patches and exposed intershrub spaces. Despite possibly being efficient in resource conservation, the species diversity and ecosystem health are expected to become degraded under this new two-phase form. Unlike biodiversity evaluation, standardized methods for evaluating geodiversity have yet to be established (Jačková and Romportl, 2008). This study revealed that such methods are specifically absent for the assessment of small-scale geodiversity. Particularly, for better understanding the impact of livestock on patch-scale geodiversity and ecosystem self-organization of mosaic-like patterned rangelands, additional studies are needed to examine the actual effects of different stocking rates. This could be implemented by using livestock enclosures and applying several grazing regimes, comparing them to long-term grazing exclusion plots as a reference treatment. In addition, so far, geodiversity studies are almost absent in mathematical models of vegetation patterns (e.g., Borgogno et al., 2009). One possible way to quantify the three-phase mosaics is by modifying the model proposed by Kéfi et al. (2010), which described the formation of vegetation patterns in water-limited environments. In this model, the pattern-forming feedback is based on the infiltration contrast between vegetated and bare-soil domains, which is dictated by Table 3 Effect of microhabitat (type of cover) on the soil's infiltration rate (cm s−1); aggregate stability index (1 through 6: the higher the index, the greater the stability); stable aggregate content (%); clay dispersion index, hygroscopic moisture content (%); electrical conductivity (μS), and pH. P value Shrub patches Intershrub spaces Trampling routes Infiltration rate Stability index Stable aggregate Clay dispersion index Hygroscopic moisture Electrical conductivity pH 0.3327 0.00059a (0.00017) 0.00064a (0.00023) 0.00052a (0.00015) 0.109 5.80a (0.07) 5.53a (0.12) 5.43a (0.16) 0.0001 77a (0.02) 68b (0.03) 55c (0.02) 0.0177 0.37b (0.11) 0.37b (0.10) 0.83a (0.17) 0.0001 3.06a (0.08) 2.81b (0.07) 2.63c (0.06) 0.2583 701.3a (23.9) 682.5a (36.8) 783.8a (72.8) 0.7856 7.75a (0.06) 7.79a (0.05) 7.76a (0.06) Notes: Means within the same column followed by a different letter differ at the 0.05 probability level according to Tukey's HSD. Numbers within parentheses are standard error (SE) of the means. I. Stavi et al. / Geomorphology 234 (2015) 11–18 17 Table 5 Effect of the interaction between hillside aspect and microhabitat (type of cover) on the soil's silt and sand contents (in %). P value North aspect × shrub patches North aspect × intershrub spaces North aspect × trampling routes South aspect × shrub patches South aspect × intershrub spaces South aspect × trampling routes Silt Sand 0.0017 48.1abc (1.1) 48.4abc (0.9) 52.4a (2.3) 49.5ab (1.2) 43.6c (0.5) 44.1bc (1.3) 0.0059 23.5b (1.4) 22.6b (1.1) 23.1b (0.7) 24.4b (0.8) 28.0a (0.5) 28.7a (0.6) Notes: Means within the same column followed by a different letter differ at the 0.05 probability level according to Tukey's HSD. Numbers within parentheses are standard error (SE) of the means. the parameter α that stands for maximum soil water infiltration (see: Kéfi et al., 2010; Yizhaq et al., 2014). The concept is to define the trampling routes with lower α values than the background. Figs. 7 and 8 show the vegetation biomass and the soil water distribution, respectively, for a domain with five trampling routes and under four different α values. The greater the α value, the larger the effect of trampling routes. The three-phase mosaic can be easily observed for the soil water distribution, where the lowest values exist in the trampling routes, intermediate values in the bare soil, and the highest values in the vegetation patches. The trampling routes act as a strong source for the water, increasing its redistribution, and augmenting the provision of water for the nearby vegetation patches. Yet, it should be emphasized that this model is of a simple nature, and has to be thoroughly elaborated in order to more precisely describe the role of trampling routes in vegetation pattern formation. Regardless, future efforts should model the relations among patch-scale geodiversity, self-organization, and ecosystem health in water-limited environments. Moreover, for wider verification of the concept of three-phase mosaics, similar studies have to be implemented in additional semi-arid rangelands around the world. Fig. 6. Conceptual model of the effects of livestock rate on the rangeland ecosystems' geodiversity, self-organization, and health: low livestock rate has no effect on the existing two-phase system, which supports the bi-modal self-organization, characterized by a fair state of health; moderate livestock rate modifies the geodiversity to a three-phase pattern, resulting in the formation of a tri-modal self-organization, which is characterized by a high state of health; high livestock rate eliminates the vegetation cover, resulting in the loss of self-organization and the state of poor ecosystem health. *Note: in specific occasions, a full cover of inedible woody vegetation could be formed, but yet, the overall health of such ecosystems would be rather low. in the remainder of the intershrub spaces and in the shrub patches, which act as sink of these resources. Concordant with the modifications in the physical characteristics of the routes, their chemical and biochemical characteristics are also modified. The resultant increased geodiversity of the hillslopes considerably regulates the spatial distribution of vegetation and modifies the functioning of the rangeland geoecosystem. Unlike the common perception of bi-modal self-organization patterns, such rangelands encompass tri-modal patterns, resulting in greater ecosystem health. Yet, compared to previous studies, the present study suggests that even the consideration of such shrublands as tri- 4. Conclusions This study highlighted the role of livestock trampling routes in determining geodiversity at the patch scale of semi-arid rangelands. The intensive trampling along certain trails modifies their physical characteristics, making them optimal source areas of resources. These are accumulated Fig. 7. Numerical simulation of biomass density (g m− 2) in a unit area with five trampling routes, applied to the model by Kéfi et al. (2010) and by Yizhaq et al. (2014). Panels a, b, c, and d correspond to different values of α in the trampling routes which is the maximum soil water infiltration, α = {0.2, 0.18, 0.12, 0.06 d− 1 } respectively. The precipitation rate (R) is 1.56 mm d − 1 and the spatial domain is 50 × 50 m. All other parameters (see Kéfi et al., 2010 for the model details) are identical in all panels and are given by: c ¼ 10; gmax ¼ 0:05 mm−1 m−2 ; k1 ¼ 5 mm; d ¼ 0:25 d Fig. 5. Soil quality continuum (in grey) and feedback relations (in black) at the patch scale, by type of surface cover. ; k2 ¼ 5 gr m m2 d −1 −2 ; W 0 ¼ 0:2; r w ¼ 0:2 d −1 ; Ds ¼ 25 m2 d . −1 ; i0 ¼ 0:06 d −1 2 −1 ; Dp ¼ 0:005 m d −1 ; Dw ¼ 0:1 18 I. Stavi et al. / Geomorphology 234 (2015) 11–18 Fig. 8. Soil water distribution (in mm) for the simulation described in Fig. 7. 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